Atkin-Lehner |
2- 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
21580g |
Isogeny class |
Conductor |
21580 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-592640750000 = -1 · 24 · 56 · 134 · 83 |
Discriminant |
Eigenvalues |
2- -1 5- 1 1 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2075,6302] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:65:1] |
Generators of the group modulo torsion |
j |
61723240300544/37040046875 |
j-invariant |
L |
4.7463924549068 |
L(r)(E,1)/r! |
Ω |
0.56181113852041 |
Real period |
R |
0.11733857324879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86320x1 107900a1 |
Quadratic twists by: -4 5 |